Summary
We propose a solution methodology for designing the refractive index profile of an optical fibre, from the partial knowledge of its corresponding dispersion curves. This methodology is based on the Newton method and uses the exact Fréchét derivatives of the guided modes (propagation constant and its corresponding field) with respect to the refractive index profile. Several numerical results will be presented to illustrate the performances of the proposed computational methodology.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barucq H., Bekkey C, and Djellouli R., Construction of Local Boundary Conditions for an Eigenvalue Problem Using Micro-Local Analysis. Application to Optical waveguide Problems. Research Report CU-CAS-02-02 (2002).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bekkey, C., Djellouli, R., Youssef, M. (2003). A Numerical Method for Solving a Class of Inverse Eigenvalue Problems. Application to Optical Fibre Design. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_96
Download citation
DOI: https://doi.org/10.1007/978-3-642-55856-6_96
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62480-3
Online ISBN: 978-3-642-55856-6
eBook Packages: Springer Book Archive